LETTER TO THE EDITOR: Thermally activated processes in magnetic systems consisting of rigid dipoles: equivalence of the Ito and Stratonovich stochastic calculus

LETTER TO THE EDITOR: Thermally activated processes in magnetic systems consisting of rigid dipoles: equivalence of the Ito and Stratonovich stochastic calculus
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致编辑的信:由刚性偶极子组成的磁系统中的热激活过程:伊藤和斯特拉托诺维奇随机微积分的等价

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发表时间:
2002
期刊:
影响因子:
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通讯作者:
N. Gorn
N. Gorn
中科院分区:
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作者:
D. Berkov;N. Gorn

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我们表明,伊藤和Stratonovich随机演算导致相同的结果时,应用到磁系统的随机动力学研究组成的偶极子与恒定的幅度,尽管乘法噪声出现在相应的朗之万方程。这一陈述的直接后果是,用于解这些方程的任何数值方法将导致物理正确的结果。
We demonstrate that the Ito and the Stratonovich stochastic calculus lead to identical results when applied to the stochastic dynamics study of magnetic systems consisting of dipoles with the constant magnitude, despite the multiplicative noise appearing in the corresponding Langevin equations. The immediate consequence of this statement is that any numerical method used for the solution of these equations will lead to the physically correct results.